This book will cover statistical inference for copula and tail copula models with applications in finance, insurance and risk management. After giving a quick introduction to copula and tail copula models, it will focus on various up-to-date statistical inference procedures, including point and interval estimation and goodness-of- t tests, for both copulas and tail copulas based on either independent data or dependent data. A chapter on applications in nance, insurance and risk management will be provided with R code.